Write the product of 7 * 7 * 7 * 7 in exponential form
2 answers:
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Answer:
The two integers have values 28 and 21
Step-by-step explanation:
This is a simultaneous equation problem. Let the two integers be represented by and
.
The first part of the question can be represented by the following equation:
From the second part of the question, we know their sum is 49, which can be represented by:
Now, we need to manipulate the expressions to contain just one unknown value. If we add to both sides of the first equation we get:
Now we can substitute the value of for
in the second equation:
Which we can then rearrange and solve for :
We can now use the value for in either of the two original equations for find the value of
:
.
We now have the the two values 28 and 21.
Note: To double check the answer, check if their sum is equal to 49:
.